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2199345057 = 3272131961331
BaseRepresentation
bin1000001100010111…
…0101011110100001
312200021110022020100
42003011311132201
514001013020212
61002123333013
7105334060500
oct20305653641
95607408210
102199345057
11a29522548
12514681169
13290862510
1416c14a837
15cd13cbdc
hex831757a1

2199345057 has 144 divisors (see below), whose sum is σ = 4270768320. Its totient is φ = 1077753600.

The previous prime is 2199345041. The next prime is 2199345067. The reversal of 2199345057 is 7505439912.

It is a happy number.

2199345057 is a `hidden beast` number, since 2 + 199 + 3 + 450 + 5 + 7 = 666.

It is not a de Polignac number, because 2199345057 - 24 = 2199345041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2199345067) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6644382 + ... + 6644712.

Almost surely, 22199345057 is an apocalyptic number.

It is an amenable number.

2199345057 is a deficient number, since it is larger than the sum of its proper divisors (2071423263).

2199345057 is a wasteful number, since it uses less digits than its factorization.

2199345057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 2199345057 is about 46897.1753627017. The cubic root of 2199345057 is about 1300.4623714261.

The spelling of 2199345057 in words is "two billion, one hundred ninety-nine million, three hundred forty-five thousand, fifty-seven".

Divisors: 1 3 7 9 13 19 21 39 49 57 61 63 91 117 133 147 171 183 247 273 331 399 427 441 549 637 741 793 819 931 993 1159 1197 1281 1729 1911 2223 2317 2379 2793 2979 2989 3477 3843 4303 5187 5551 5733 6289 6951 7137 8113 8379 8967 10431 12103 12909 15067 15561 16219 16653 18867 20191 20853 24339 26901 30121 36309 38727 38857 44023 45201 48657 49959 56601 56791 60573 73017 81757 90363 105469 108927 116571 132069 135603 141337 145971 170373 181719 210847 245271 262483 271089 308161 316407 349713 383629 396207 424011 511119 572299 632541 735813 738283 787449 924483 949221 989359 1150887 1272033 1716897 1837381 1897623 2214849 2362347 2685403 2773449 2968077 3452661 4006093 4987177 5150691 5512143 6644547 8056209 8904231 12018279 12861667 14961531 16536429 18797821 24168627 34910239 36054837 38585001 44884593 56393463 104730717 115755003 169180389 244371673 314192151 733115019 2199345057